Express `5/3` m/s in km/h.

Answer

To convert \( \frac{5}{3} \) m/s to km/h, follow these steps:

### Step 1: Understand the conversion factors
1. We know that:
- 1 km = 1000 m
- 1 hour = 3600 seconds

### Step 2: Set up the conversion
2. To convert from meters per second to kilometers per hour, we can use the following relationship:
\[ \text{Speed in km/h} = \text{Speed in m/s} \times \frac{3600 \text{ seconds}}{1000 \text{ meters}} \]

### Step 3: Substitute the given speed
3. Substitute \( \frac{5}{3} \) m/s into the equation:
\[ \text{Speed in km/h} = \frac{5}{3} \times \frac{3600}{1000} \]

### Step 4: Simplify the fraction
4. Simplify \( \frac{3600}{1000} \):
\[ \frac{3600}{1000} = \frac{36}{10} = 3.6 \]

### Step 5: Multiply the values
5. Now multiply \( \frac{5}{3} \) by \( 3.6 \):
\[ \text{Speed in km/h} = \frac{5}{3} \times 3.6 = \frac{5 \times 3.6}{3} = \frac{18}{3} = 6 \]

### Final Answer
6. Therefore, \( \frac{5}{3} \) m/s is equal to **6 km/h**.

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